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Finding the Fourth Proportional to 30,442.81, 42,010.95 and 17,014.05

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Solution

The fourth proportional to 30,442.81, 42,010.95 and 17,014.05 is: 23,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.81 : 42,010.95 = 17,014.05 : x
  2. Step 2: Convert to fraction form
    30,442.81/42,010.95 = 17,014.05/x
  3. Step 3: Cross multiply
    30,442.81x = 42,010.95 × 17,014.05
  4. Step 4: Simplify right side
    30,442.81x = 714,776,403.85
  5. Step 5: Solve for x
    x = 714,776,403.85/30,442.81
  6. Step 6: Final answer
    x = 23,479.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.